The polarized transition matrix element A(N) of the variable flavor number scheme at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math>
Arnd Behring, J. Blümlein, A. Freitas, Andreas von Manteuffel, Kay Schönwald, Carsten Schneider
Abstract
We calculate the polarized massive operator matrix element Agq(3)(N) to 3-loop order in Quantum Chromodynamics analytically at general values of the Mellin variable N both in the single- and double-mass case in the Larin scheme. It is a transition function required in the variable flavor number scheme at O(αs3). We also present the results in momentum fraction space.
Topics & Concepts
Variable (mathematics)MathematicsComputer scienceMathematical analysisQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesPhysics of Superconductivity and Magnetism